I was speaking from my car audio experience where majority of bridgeable stereo amps maintain stereo inputs when in bridged mode. I know you can sum the stereo signal to a mono input, i've built cables to do this very thing.When I work on an amp that is driving me nuts, I sometimes turn the amp 180 degrees. Like work on it from th rear instead of from the front. This gives me a new viewpoint. SOunds silly, but when something basic looks to be wrong and I cannot find it, many times it is because I looked at something long enough that it looked "right" even though it wasn't.
When you said this earlier, it concerned me, since you are automatically losing one side of a stereo signal when in bridged mode. You can mono up the source and feed it to one input, but otherwise that second input does nothing. SO I am not sure how we would be losing anaything.
I don't work in car audio, but are not most car amps bridge mode to start with? In other words a simple stereo is actually two pairs of bridge mode amps? DO car amps have a stereo/bridge switch?
I've never owned a bridgeable car amp that had a mode select. You simply wire it for bridged or wire it for stereo. They've had mono or stereo input selection but no selection for output.I don't work in car audio, but are not most car amps bridge mode to start with? In other words a simple stereo is actually two pairs of bridge mode amps? DO car amps have a stereo/bridge switch?
Your input wiring (common to all four amps) is likely the problem.I understand the amp is not a mixer but it's not difficult to sum a stereo signal to mono. I've done it very easily while building a 3.5mm stereo jack to XLR adapter.
You can "easily" connect (short circuit) the tip and ring of a stereo 3.5mm (or 1/4") TRS together, then wire the shorted pair to the XLR pin 2 (+), and the sleeve to XLR pin 3 (-) to sum to mono.
Not a good choice, the tip and ring should be isolated with resistors.
To function properly, a 3.5mm stereo jack to XLR adapter would require two XLR connectors, one for left, one for right.
The standard connection of a 3-pin XLR to a 1/4" TRS (AKA stereo jack plug) is:
pin 1(shield) to sleeve, pin 2(+) to tip, pin 3(-) to ring.
If a mixer stereo headphone out was used to drive the amp input using that configuration, the L/R of a mono signal (exactly 180 degrees out of phase) would cancel if driving the amp XLR switched to "stereo", while the inverting "bridge mono" connection would not.
https://qscprod.force.com/selfhelpportal/s/article/How-to-Connecting-stereo-outputs-to-mono-input